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The area of the triangle whose vertices ...

The area of the triangle whose vertices are represented by the complex numbers O,z and `z(cos alpha + I sin alpha) (0 lt alpha lt pi)` is equial to -

A

`1/2 |z|^(2) cos alpha`

B

`1/2 |z^(2)|`

C

`1/2 |z|^(2) sin alpha cos alpha`

D

`1/2|z| ^(2) sin alpha`

Text Solution

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The correct Answer is:
D
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